%0 Journal Article
%T Some properties of the generalized sierpi\'{n}ski gasket graphs
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Attarzadeh, Fatemeh
%A Abasi, Ahmad
%A Gholamnia Taleshani, Mona
%D 2024
%\ 04/27/2024
%V
%N
%P -
%! Some properties of the generalized sierpi\'{n}ski gasket graphs
%K Sierpiński
%K Sierpiński Gasket
%K Euilarian
%K Hamiltonian
%R 10.22108/toc.2024.138919.2098
%X The generalized Sierpiński gasket graphs $S[G,t]$ are introduced as the graphs obtained from the Sierpiński graphs $S(G,t)$ by contracting single edges between copies of previous phases. The family $S[G,t]$ is a generalization of a previously studied class of generalized Sierpiński gasket graphs $S[n,t]$. In this paper, several properties of $S[G,t]$ are studied. In particular, adjacency of vertices, degree sequence, general first Zagreb index, hamiltonicity, and Eulerian.
%U https://toc.ui.ac.ir/article_28245_821e9d6de23dcb4cfaf1ac418d5551c0.pdf